Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = ∠C

3x = 120

x = 120 ÷ 3

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]

x = 40°

Therefore, the value of x = 40°.

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]

y = 30°

Therefore, the value of y = 30°.

Answer:

5

Step-by-step explanation:

By process of elimination, we can say for sure that C and D are not the right answers because as x- the numbers on the top- increases, y- the numbers on the bottom- increases. This means that the slope is not negative, because the slope is the rate of change and it does not have a negative rate of change.

The equation for slope is y2-y1 / x2-x1. Meaning, y is on top and x is on bottom. This creates a fraction. So let's take 0 and 1 for X, the first and second values, and 3 and 8 for y, the first and second values. We swap them, because the second y value comes first, so we have 8 - 3 for the top, the numerator. Then we have 1 - 0 for the bottom, the denominator. Solving 8 - 3 and 1 - 0, we have 5/1. 5/1 simplifies to 5, and thus 5 is your slope.

Answer:

Slope= -4

Step-by-step explanation:

Slope is rise over run (y over x)

So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.

So, the slope can be written as:

-8/2

Simplified to -4/1 or just -4

Answer:

Step-by-step explanation:

Answer: 24.5 m² ( area)

Step-by-step explanation:

See , Total area of wall is given - length , 6m - width/breadth , 5m

          so , Area of total wall = l x b = 6*5 = 30m²

so , there is a window whose length is 2 meters and breadth/width of 0.5m

         so , Area of window = l x b = 1m²

So , area of door  = length , 3 - Width/breadth- 0.5 m²

        So , Area of door = 3* 1.5 = 4.5

Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .

= total area of wall - area of window and door

30m²-1m²-4.5

So as a result , we get a total area of the wall without the window and door to be painted as  24.5m²

Step-by-step explanation:

tae tae tae tae tae tae tae tae

Answer:

(a)

Step-by-step explanation:

Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line

Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

Answer:

probs C

Step-by-step explanation:

hope it helps

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

Answer:

23 meters

Step-by-step explanation:

You would subtract 24 from 70, and then divide by two.

70-24=46

46/2 = 23

Answer:

Let the hours when they equalize=h, then we have:

12.25 + .13h=13 - .09h

.13h + .09h=13 - 12.25

.22h=.75 divide both sides by .22

h=.75/.22

h=3 9/22, hours, when they will equalize.

The stock prices will be the same in 3.4 hours.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

At 9 a.m., the price of Stock A was $12.73. Since then, the price has risen at a pace of $0.06 per hour. Stock B was trading at 13.48 at midday. It starts to fall at a pace of $0.14 each hour.

Let's assume the hours would be h when to equalize,

As per the given question, we can write the equation as:

12.25 + 0.13h = 13 - 0.09h

Rearrange the terms of h in the above equation,

0.13h + 0.09h = 13 - 12.25

Combine the likewise terms in the above equation,

0.22h = 0.75

Divide both sides by 0.22

h = 0.75/0.22

h = 3.4

Thus, the stock prices will be the same in 3.4 hours.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Answer:

[tex]2.\bar{81}mm[/tex]

Step-by-step explanation:

First the formula for find the are of a trapezoid is:

[tex]A = \frac{h(a+b)}{2}[/tex]

Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.

Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation

[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]

Then in the new equation replace the given values:

[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]

[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]

So the final answer is [tex]2.\bar{81}mm[/tex]

Answer:

Step-by-step explanation:

it is blank

Answer:

Y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+29−8y=5

Step 1: Simplify both sides of the equation.

2y+29−8y=5

2y+29+−8y=5

(2y+−8y)+(29)=5(Combine Like Terms)

−6y+29=5

−6y+29=5

Step 2: Subtract 29 from both sides.

−6y+29−29=5−29

−6y=−24

Step 3: Divide both sides by -6.

−6y/-6=-24/-6

y=4

Hope this Helps

Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

Answer: [tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Step-by-step explanation:

take 2 points and use slope formula to find slope

[tex]\frac{4-2}{4-1}[/tex][tex]=\frac{2}{3}[/tex]

take the slope and a point on the graph and use point slope formula to get equation in point slope intercept form

[tex]y-2=\frac{2}{3}( x-1)[/tex]

[tex]y-2=\frac{2}{3}x-\frac{2}{3}[/tex]

[tex]y=\frac{2}{3}x-\frac{2}{3} + 2[/tex]

[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Answer:

The blue thing is 4 times smaller than the big thing.

Step-by-step explanation:

Answer:

  1/4

Step-by-step explanation:

The image/preimage scale factor can be found by considering the lengths of corresponding sides.

  Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4

The scale factor is 1/4.

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

Step-by-step explanation:

I am not sure this is typed all correctly.

what I understand here :

there is an original triangle ABC in inches.

then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.

the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.

due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.

and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).

that means that all side lengths are divided by 16 for the resulting triangle.

8 inches /16 = 0.5 inches

19.2 inches / 16 = 1.2 inches

20.8 inches / 16 = 1.3 inches

so, the second answer option is correct.

Answer:

3.2 seconds

Step-by-step explanation:

Answer:

[tex]5k^2-4k>0[/tex]

[tex]k(5k-4)>0[/tex]

In the image attached, you want the values above 0. Thus, the values of k would be in the red area, which is

[tex]k<0[/tex] or [tex]k>\frac{4}{5}[/tex]

2 is the answer!!

Answer:

y = 19.99x + 17.99

(I just did it)

Answer:

Step-by-step explanation:

2

Answer:

Step-by-step explanation:

Umm what is your question u did not add it?